Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams

Ferrero R, Ripken C (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2023

Article Number: 199

Issue: 8

DOI: 10.1007/JHEP08(2023)199

Abstract

We employ a manifestly covariant formalism to compute the tree-level amputated Green’s function of non-minimally coupled scalar fields in quadratic gravity in a de Sitter background. We study this Green’s function in the adiabatic limit, and construct the classical Newtonian potential. At short distances, the flat-spacetime Yukawa potential is reproduced, while the curvature gives rise to corrections to the potential at large distances. Beyond the Hubble radius, the potential vanishes identically, in agreement with the causal structure of de Sitter spacetime. For sub-Hubble distances, we investigate whether the modifications to the potential reproduce Modified Newtonian Dynamics.

Authors with CRIS profile

Renata Ferrero

Involved external institutions

Johannes Gutenberg-Universität Mainz (JGU) DE Germany (DE)

How to cite

APA:

Ferrero, R., & Ripken, C. (2023). Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams. Journal of High Energy Physics, 2023. https://doi.org/10.1007/JHEP08(2023)199

MLA:

Ferrero, Renata, and Chris Ripken. "Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams." Journal of High Energy Physics 2023 (2023).

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